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Effects of Teachers’ Mathematical Knowledge for Teaching on Student Achievement
Abstract
This study explored whether and how teachers’ mathematical knowledge for teaching contributes to gains in students’ mathematics achievement. The authors used a linear mixed-model methodology in which first and third graders’ mathematical achievement gains over a year were nested within teachers, who in turn were nested within schools. They found that teachers’ mathematical knowledge was significantly related to student achievement gains in both first and third grades after controlling for key student- and teacher-level covariates. This result, while consonant with findings from the educational production function literature, was obtained via a measure focusing on the specialized mathematical knowledge and skills used in teaching mathematics. This finding provides support for policy initiatives designed to improve students’ mathematics achievement by improving teachers’ mathematical knowledge.
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“However, the PMTs included some teacher actions by “anticipating students' potential reasoning,” a SCK descriptor (Hill et al., 2005;Schilling & Hill, 2007).”
From Preservice teachers' mathematical knowledge for teaching: Focus on lesson planning and reflection (2024) · cites this paper as Hill et al., 2005
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Metadata
- Authors
- Hill, H. C., Rowan, B., & Ball, D. L.
- Affiliations
- University of Michigan (US)
- Venue
- American Educational Research Journal
- Published
- 2005-01
- Volume
- 42
- Issue
- 2
- Pages
- 371-406
- ISSN
- 0002-8312 (ISSN-L)
- 1935-1011
- OpenAlex
- W2122081458
- Cited by
- 2,812
- References
- 66
- Citations by year
- 2026: 65 · 2025: 72 · 2024: 86 · 2023: 94 · 2022: 139 · 2021: 140 · 2020: 182 · 2019: 165 · 2018: 160 · 2017: 171 · 2016: 223 · 2015: 208 · 2014: 170 · 2013: 196 · 2012: 191
- FWCI
- 296.46
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- American Educational Research Journal (publishedVersion)
- Digital Access to Scholarship at Harvard (DASH) (Harvard University) (acceptedVersion)
- Topics
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Social Sciences › Education › School Choice and Performance
- Social Sciences › Education › Teacher Education and Assessments
- Keywords
- mathematical knowledge for teaching, teacher knowledge, student mathematics achievement, achievement gains, early grades, first grade, third grade, education production function, teacher professional development, mathematics education policy
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